Players always matter, especially Quarterbacks. It is not a player or coach scenario. Brady's Patriots always had a top 10 defense when the won the super bowl. This is a simple chart showing the SB winners and loser O and D ranks. In the case of Brady's NE teams, it only misses 2019 when they had the best defense in the NFL in yds per game and points and held the rams to 3 in the superbowl.
| Year | Winner | Pts | Yds | Loser | Pts | Yds |
|---|
| 2018 | Eagles | 4 | 4 | Patriots | 5 | 29 |
| 2017 | Patriots | 1 | 8 | Falcons | 27 | 25 |
| 2016 | Broncos | 4 | 1 | Panthers | 6 | 6 |
| 2015 | Patriots | 8 | 13 | Seahawks | 1 | 1 |
| 2014 | Seahawks | 1 | 1 | Broncos | 22 | 19 |
| 2013 | Ravens | 12 | 17 | 49ers | 2 | 3 |
| 2012 | Giants | 25 | 27 | Patriots | 15 | 31 |
| 2011 | Packers | 2 | 5 | Steelers | 1 | 2 |
| 2010 | Saints | 20 | 25 | Colts | 8 | 18 |
| 2009 | Steelers | 1 | 1 | Cardinals | 28 | 19 |
| 2008 | Giants | 17 | 7 | Patriots | 4 | 4 |
| 2007 | Colts | 23 | 21 | Bears | 3 | 5 |
| 2006 | Steelers | 3 | 4 | Seahawks | 7 | 16 |
| 2005 | Patriots | 2 | 9 | Eagles | 2 | 10 |
| 2004 | Patriots | 1 | 7 | Panthers | 10 | 8 |
| 2003 | Buccaneers | 1 | 1 | Raiders | 6 | 11 |
| 2002 | Patriots | 6 | 24 | Rams | 7 | 3 |
The whole argument is silly in that the offense, defense and special teams all work together for truly great teams and Peyton and BB are not the only coaches on the team. BB has suffered recently from not having assistant coaches that were up to the standards set by prior coaches. Much of that is his own doing since he refuses to hire outside his circle and has failed recently to get competent OL coaching from coaches that he has trained. Lack of good assistant coaching has led to last years offensive and special teams debacle and this years awful line play. Losing OL coach Dante Scharnecchia has been the biggest blow to the Patriots coaching staff. He left twice. Both times the line play has gone from excellent to awful quickly.
Assistant coaches matter. Consider that Bill Parcells has never won a super bowl without Belichik as the DC. Belichik has only won one as HC without Scarnecchia as OL coach and by the 2nd yr (2015) without Scar the line was awful even with Brady in his prime and getting rid of the ball as quick as he was able to. Two years removed from Scar's latest retirement and the Patriots have the worst OL in football.
I don't know much about Peyton, except that he won a SB with a fairly poor defense and that he is a mini Parcells. He certainly has never won at the clip of BB though.